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2213100344 = 237138934157
BaseRepresentation
bin1000001111101001…
…0011101100111000
312201020100010221102
42003322103230320
514013023202334
61003334230532
7105562020410
oct20372235470
95636303842
102213100344
11a36268054
125191b5448
1329366a440
1416dccb640
15ce45867e
hex83e93b38

2213100344 has 64 divisors (see below), whose sum is σ = 5164689600. Its totient is φ = 865649664.

The previous prime is 2213100343. The next prime is 2213100347. The reversal of 2213100344 is 4430013122.

2213100344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22131003442 = 9795626265225836672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213100343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47714 + ... + 81870.

It is an arithmetic number, because the mean of its divisors is an integer number (80698275).

Almost surely, 22213100344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582344800).

2213100344 is an abundant number, since it is smaller than the sum of its proper divisors (2951589256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213100344 is a wasteful number, since it uses less digits than its factorization.

2213100344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34272 (or 34268 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2213100344 is about 47043.6004574480. The cubic root of 2213100344 is about 1303.1678843772.

Adding to 2213100344 its reverse (4430013122), we get a palindrome (6643113466).

The spelling of 2213100344 in words is "two billion, two hundred thirteen million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 89 91 104 178 182 356 364 623 712 728 1157 1246 2314 2492 4628 4984 8099 9256 16198 32396 34157 64792 68314 136628 239099 273256 444041 478198 888082 956396 1776164 1912792 3039973 3108287 3552328 6079946 6216574 12159892 12433148 21279811 24319784 24866296 39519649 42559622 79039298 85119244 158078596 170238488 276637543 316157192 553275086 1106550172 2213100344